Prime Magic Square/Examples/Order 3/Smallest with Consecutive Primes
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Example of Order $3$ Prime Magic Square
This order $3$ prime magic square is the smallest whose elements are consecutive odd primes:
- $\begin{array}{|c|c|c|}
\hline 1 \, 480 \, 028 \, 159 & 1 \, 480 \, 028 \, 153 & 1 \, 480 \, 028 \, 201 \\ \hline 1 \, 480 \, 028 \, 213 & 1 \, 480 \, 028 \, 171 & 1 \, 480 \, 028 \, 129 \\ \hline 1 \, 480 \, 028 \, 141 & 1 \, 480 \, 028 \, 189 & 1 \, 480 \, 028 \, 183 \\ \hline \end{array}$
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Proof
 | This theorem requires a proof. In particular: It remains to be demonstrated that this is in fact the smallest such. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Also see
Historical Note
Harry Nelson found this prime magic square, in response to a challenge issued by Martin Gardner, thereby winning the prize offered of $\$100$.
Sources
- 1988: H.L. Nelson: A Consecutive Prime $3 \times 3$ Magic Square (J. Recr. Math. Vol. 20: pp. 214 – 216)
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1,480,028,171$
- Weisstein, Eric W. "Prime Magic Square." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeMagicSquare.html